Remove dough from refrigerator. Makes sure your edges are all flat by pressing them against the cutting board before you take the plastic wrap off.
Slice each dough block lengthwise into equal pieces.
Cut each slice into strips.
Assemble the strips, alternating vanilla and chocolate. Make as many columns and rows as you want.
Wrap dough blocks and chill 2 hours or overnight again.
Remove dough from refrigerator and slice into 1/4 inch cookies. Rotate dough every slice to keep the knife from pulling the dough out of shape.
Line a baking sheet with parchment paper and evenly space the cookies. If you are still not happy with the shape, you have a second chance to reconfigure it once you place it on your cookie sheet. Just apply slight pressure on opposites sides. They will make 12-15 cookies depending on the thickness of your roll. These cookies should not spread so you can use a half size baking sheet.
Bake for 12-15 minutes. Let cool slightly before you remove them so they don't break. Store in a covered container on the counter.